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Finding the Third Proportional to 49,063 and 73,882

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Solution

The third proportional to 49,063 and 73,882 is: 111,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,063 : 73,882 = 73,882 : x
  2. Step 2: Convert to fraction form
    49,063/73,882 = 73,882/x
  3. Step 3: Cross multiply
    49,063x = 73,882 × 73,882
  4. Step 4: Simplify right side
    49,063x = 5,458,549,924
  5. Step 5: Solve for x
    x = 5,458,549,924/49,063
  6. Step 6: Final answer
    x = 111,255.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.